Research Article

EEGIFT: Group Independent Component Analysis for Event-Related EEG Data

Figure 1

Group ICA. In the group ICA model, we assume that the EEG is a linear mixture of temporally independent sources in each subject 𝑠 ( 𝑡 ) . The linear combination of sources is represented by the unknown mixing matrix 𝐴 , and yields the ideal samples of brain activity u(t), and the signals recorded with the EEG amplifier ( 𝐸 ) . Transformations ( 𝑇 ) during preprocessing contain filtering, epoching, artefact rejection, individual ICA for additional artefact reduction and so forth, altering the effective temporal sampling and dimensionality of the data 𝑦 ( 𝑖 ) . For each individual separately, the pre-processed single trial data are pre-whitened and reduced to 𝑅 via PCA. Group data is generated by concatenating individual principal components in the aggregate data set 𝐺 . Temporal ICA is performed in this set, estimating aggregate components ( 𝐶 ) . From the aggregate components, the individual data are reconstructed (see text for details).
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